A population has a mean of 125 and a standard deviation of 16. A sample of 64 observations will be taken. The probability that the sample mean will be between 122.4 and 126.1 is

Answers

Answer 1

Answer:

0.61204

Step-by-step explanation:

μ = 125 ; σ = 16 ; n = 64

Probability that mean will be between 122.4 and 126.1

Z = (x - μ) / σ/sqrt(n)

x = 122.4

Z = (122.4 - 125) ÷ 16/sqrt(64)

Z = - 2.6 ÷ 2 = - 1.3

P(Z < - 1.3) = 0.0968

x = 126.1

Z = (126.1 - 125) ÷ 16/sqrt(64)

Z = 1.1 ÷ 2 = 0.55

P(Z < 0.55) = 0.70884

P(Z < 0.55) - P(Z < - 1.3)

0.70884 - 0.0968

= 0.61204


Related Questions

Which triangle has 2 equal sides?

A) equilateral triangle

B) isosceles triangle

C) scalene triangle

Answers

Answer:

isosceles triangle is the correct answer

hope it helps

it has two equal sides

Answer:

B

Step-by-step explanation:

Isoceles triangle is defined by two equal sides

Select two ways you could display bivariate data.
1.Table
2.Map
3.Notation
4.Graph

Answers

A graph (most commonly a scatterplot) and a table

Help me on this question lol

Answers

Answer:

i think the answer is 10.5

Step-by-step explanation:

1.25 for a gallon means that 1.25 x 8 = 10. 0.4 gallons mean 1.25 divided by 0.4 which gets you 0.5. I think that's the right answer

Hope this helps!

Mark brainliest please

Answer:

$10.50

Step-by-step explanation:

help me FAST :> math problem 15 points come on please

Answers

Answer:

D

Step-by-step explanation:

z+nm is equiveland to mn+z since its the same equation but wrote in different positions.

Answer: the answer is D

Z + nm

The table shows the number of sodas left in the vending machine after each hour.
Time in Hours
0
1
2
3
Number of Sodas 310 290 270 250
If the pattern stays the same, which expression gives the number of sodas left after t hours?
A. 250 - 200
B. 290 - 200
C. 310 - 20t
D. 330 - 200

Answers

Answer: A

Step-by-step explanation: -20

Which values are solutions to × < 10? A. × = 1 and × = 9 B. × = 18 and x = - 11 C. × = 9 and × = 15 D. × = 15 and × = 18

Answers

Answer:

A

Step-by-step explanation:

you need find the smaller numbers of 10 which would be in answer A. all the other answers are bigger than 10

Can someone help me plzzzz with this math question!!!!!! “Buy one, get one free” special at T-Mobile for an iPhone 12. The cost is $1150. Calculate what you are actually paying for each item since you are getting two for one price. What is the sale price of each phone?

Answers

Answer:

$575

Step-by-step explanation

1150/2 = 575

Answer:

$1150

Step-by-step explanation:

because it is a buy one (for sale price), get one free

4x+3y=16
y=x+3

X=
Y=

Answers

__________________________

4x + 3y = 16

x = -3 / 4 y + 4

y = -4 / 3 x + 16 / 3

___________________________

y = x + 3

x = y - 3

y = x + 3

___________________________

The area of a sector of an circle of a radius 5 cm, formed by an arc of length is 3.5cm. what is the answer

Answers

Answer:

8.75cm²

Step-by-step explanation:

First we need to find the angle subtended by the arc

L = theta/360 * 2pir

3.5 = theta/360 * 2*3.14(5)

3.5 = theta/360 * 31.4

theta/360 = 3.5/31.4

theta/360 = 0.11146

theta = 0.11146 * 360

theta = 40.13 degrees

Area of the sector = theta/360 * pir^2

Area of the sector = 40.13/360 * 3.14*25

Area of the sector = 40.13/360 * 78.5

Area of the sector  = 8.75cm

Hence the area of the sector is 8.75cm²

The sum of two numers is 58. The smaller number is 14 less than the larger number. What are the two numbers?

Answers

36, and 22.
Bc it equals 58, and 22 is 14 less than 36.

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 2.13 and 2.99

Answers

Answer:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question, we have that:

Mean = 2.56

Standard deviation = 0.43

What percentage of the students have grade point averages that are between 2.13 and 2.99?

2.56 - 0.43 = 2.13

2.56 + 0.43 = 2.99

Within one standard deviation of the mean, so, by the Empirical Rule:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

(3uv/2u²-2v²)+5uv/3u²+3v2​

Answers

Answer:

19/6 u^3 v + v^2

Step-by-step explanation:

3uv2

u2−2v2+

5uv3

u2+3v2

=32

u3v+−2v2+53

u3v+3v2

Combine Like Terms:

=32

u3v+−2v2+53

u3v+3v2

= (3

u3v+

53

u3v)+(−2v2+3v2)

Please help and will give brainliest

Answers

9514 1404 393

Answer:

  12 m³

Step-by-step explanation:

The bottom platform has dimensions 2m × 4m × 3m, so a volume of ...

  V = LWH

  V = (2 m)(4 m)(3 m) = 24 m³

The top platform has dimensions 2m × 3m × 2m, so a volume of ...

  V = (2 m)(3 m)(2 m) = 12 m³

The bottom platform has a larger volume by ...

  24 m³ -12 m³ = 12 m³

The bottom prism has a 12 m³ larger volume.

Answer:

the answer is 12m squared

PLEASE HELP

Which expression is equivalent to 5(w+4) when w=9?
O5(9)
O9(5)
O5(9)+4
O5(9)+20

Answers

Answer:

05(9)+20

Step-by-step explanation:

becasue i know and this was the only way to allow me to give you the answer

Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.

Answers

Answer:

Step-by-step explanation:

30

What is the ratio of water to drink mix? (2 points)



What is the ratio of drink mix to water? (2 points)
plssssssssssssssssssssssss help me asap
To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix
What is the ratio of drink mix to mixed energy drink? (2 points)



What is the ratio of water to mixed energy drink? (2 points)

Answers

Answer:

8:3, or 8 to 3, or 3/6

Step-by-step explanation:

Answer:

8:3

Step-by-step explanation:

8ty grade math, please help.
-Find the volume-

Answers

Answer:

47.12389 Rounded is 47.12

Step-by-step explanation:

V=πr2h=π·12·15≈47.12389

If abc+1=0, prove that: (1/1−a−b^-1)+(1/1−b−c^-1)+(1/1−c−a^−1​)=1​

Answers

Answer:

Hope it will help. I did it.

Hope the image is clear.

Answer:

2

Step-by-step explanation:

In the figure above, sin 52=17/c. Based on the figure, which of the following equations is also true
A. Sin 38= c/17
B. Cos 38=17/c
C. Cos 52=17/c
D. Tan 52=c/17

Answers

Answer:

c. Cos 52 = 17/c

Step-by-step explanation:

sin(x) = cos(90-x)

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
he in
30 in
3 in
50 in.
A rectangle is removed from the middle of a larger rectangular shaped board. What is the area of the remaining
board?
198 in
543 in?
1000 in?
elp
1452 in
Type here to search
O
RE
^

Answers

Answer:

What????

Step-by-step explanation:

Answer:

I dont get it

Step-by-step explanation:

what

A stockbroker has money in three accounts. The interest rates on the three accounts are 7%, 8%, 9%. If she has twice as much money invested at 8% as she does in 7% Three times as much at 9%
as she has at 7%, and the total interest for the year is $150 how much is invested at each rate?


The stockbroker invested $___at 7%,$___at 8%, and $___at 9%

Answers

Answer:

x=amount invested at 7%

2x=amount invested at 8%

3x=amount invested at 9%

interest=principal*rate*time (time=1 year)

$150=0.07x+0.08*2x+0.09*3x

$150=0.07x+0.16x+0.27x

$150=0.50x

$1500=5x

x=$300 invested at 7%

2x=$600 invested at 8%

3x=$900 invested at 9%

Step-by-step explanation:

Chan chose an integer. He subtracted 8. Then, he multiplied the difference by -3. The answer was 60. What integer did Chan choose?

Answers

Answer:

-12

Step-by-step explanation:

let that integer be x.

-3(x-8) =60

Mr Chan chose -12 as the integer.


Let x be the integer.

(x-8) • (-3) = 60

-3(x-8) = 60

-3x + 24 = 60

-3x = 36

x = 36/-3

x = -12

The coordinate point E(8,-10) after a dilation with scale factor of 2.5, centered at the origin, becomes the point
O (20,-25)
O (16, -20)
O (10.5, -7.5)
O (5.5, -12,5​

Answers

Answer:

20,-25

Step-by-step explanation:

Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?

Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste

Answers

Answer:

B

Step-by-step explanation:

i got it right

HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!

Answers

Answer:

Step-by-step explanation:

Part A: (3,2)

connect all the points on the paper

Part B: 5 units.  We know this since the x point for A is -2 and the point for B is 3.  -2 to 3(absolute value of -2 plus 3)= 5

Suppose that a committee is studying whether there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours. Construct a 95% confidence interval for the population mean time wasted. Which distribution should you use for this problem

Answers

Answer:

The t-distribution is used, as we have the standard deviation of the sample.

The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.

Step-by-step explanation:

We have the standard deviation for the sample, which meas that the t-distribution should be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 81 - 1 = 80

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.99

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.99\frac{4}{\sqrt{81}} = 0.88[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 8 - 0.88 = 7.12 hours.

The upper end of the interval is the sample mean added to M. So it is 8 + 0.88 = 8.88 hours.

The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.

Kelly took a survey of two different sets of
100
students to see what their favorite pizza toppings are and displayed the results in the table below.

Answers

Answer:

follow me and followback kita

Step-by-step explanation:

legit hindi ko alam sagot

2x - 3
L
M
x + 4
X =
?

Answers

Answer: 7

Step-by-step explanation:

2x - 3 = x + 4

2x - x - 3 = 4           Mius x from the both side

       x - 3 = 4          

             x = 7          Add the 3 from both side

If the triangles below are similar, determine which of the statements below are TRUE. (There may be more than one correct answer.)


Similar Triangles


Question 5 options:


A.) BC¯¯¯¯¯≅YZ¯¯¯¯¯


B.) BC¯¯¯¯¯≅XY¯¯¯¯¯¯


C.) Side XY = 26



D.) Side BC = 48



E.) ∠A≅∠X

Answers

Answer:

Step-by-step explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

The answers are:

Side XY = 26

BC ≅ XY

Side BC = 48

Please help me with this question.​

Answers

Step-by-step explanation:

Mean of the origibal set = 20

No. of terms = 10

Sum = Mean x No. of terms

= 20 x 10 = 200

The sum of additional numbers to make the new set of observstion is 4 + 8 + 12...... + 40 = 220

New Sum = 200 + 220 = 420

The no of terms stay the same

New Mean = New Sum/ N

= 420/10

= 42

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